Analysis of Particle Species Evolution in Neutral Beam Injection … · 2017. 2. 3. · In neutral...
Transcript of Analysis of Particle Species Evolution in Neutral Beam Injection … · 2017. 2. 3. · In neutral...
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ORNL/ TM- 6 302 Dist. Category UC-20
Contract No. W-7405-eng-26
FUSION ENERGY DIVISION
ANALYSIS OF PARTICLE SPECIES EVOLUTION
IN NEUTR4L BEAM INJECTION LINES
J. K i m and H. H. Haselton
Date Published - July 1978
NOTICE This document contains information of a preliminary nature. I t is subject to revision or correction and therefore does not represent a final report.
Prepared by the OAK RIDGE NATIONAL LABORATORY Oak Ridge, Tennessee 37830
operated by UNION CARBIDE CORPORATION
for the DEPARTMENT OF ENERGY
CONTENTS
ABSTRACT . . . . . . . . . . . . . . . . 1 . INTRODUCTION . . . . . . . . . . . . 2 . BEAM SPECIES CHANGE I N CAS CELL . . 3 . CALCULATIONS OF SPECIES EVOLUTION . 4 . CALCULATIONS OF NEUTRAL BEAM POWER . 5 . CONCLUSIONS . . . . . . . . . . . . . ACKNOWLEDGMENT . . . . . . . . . . . . . REFERENCES . . . . . . . . . . . . . . .
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. . . . . . . . . . . . . 9
. . . . . . . . . . . . . 1.8
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iii
A n a l y t i c s o l u t i o n s t o t h e rate e q u a t i o n s d e s c r i b i n g t h e s p e c i e s
e v o l u t i o n of a i n u l t i s p e c i e s p o s i t i v e i o n beam of hydrogen due t o charge
exchange and molecular d i s s o c i a t i o n are d e r i v e d as a f u n c t i o n of t h e
background g a s (Hz) l i n e d e n s i t y i n t h e n e u t r a l i z i n g g a s c e l l and I n t h e
d r i f t t u b e . Using t h e s o l u t i o n s , c a l c u l a t i o n s are p r e s e n t e d f o r the
relat ive abundance of each s p e c i e s as a f u n c t i o n of t h e g a s c e l l t h i c k n e s s ,
t h e r e i o n i z a t i o n l o s s rates i n t h e d r i f t tube , and t h e n e u t r a l beam power
as a f u n c t i o n of t h e beam energy and t h e s p e c i e s composi t ion oE t h e
o r i g i n a l i o n beam.
V
I. INTRODUCTION
In neutral beam injectors in use for heating fusion plasmas, a multi- 4 - 4 - + species hydrogen beam (i.e., M1, H 2 , and H 3 ) from a source undergoes atomic
collisio; reactions in a gas cell and then is separated magnetically or
electrostatically into charged particles and neutral particles. The
energetic neutral particles travel further downstream and to the fusion
plasma, while the charged particles are either dumped into a target or
possibly recovered in the form of current by one of several possible
techniques. Atomic processes in the gas cell involving charge transfer
and dissociation will change particles' charge state and momentum. These
processes will determine the species evolution along the gas cell down-
stream and the neutralization efficiency. The pure neutral particle beam
entering the drift tube will also encounter residual hydrogen molecules,
and similar atomic processes will determine the reionization losses.
Numerical calculations of this problem have been reported in the
literature. ' 7
in addition the functional forms of variation with the gas cell thickness
for all the species. Furthermore, the detailed information of the frac-
tions of charged particle species arriving at the species analyzer in the
ion dump became warranted for use in unfolding the species measurement
data obtained at the ion dump into the species distribution of the original
ion beam. The functional forms may also be used for the study of the
space charge propagation in the gas cell. We also present a calculation
of the neutral beam injector efficiency as a function of the beam energy
and the species composition for the fixed ion beam current.
Although the same problem is considered here, we o f f e r
2. BEAM SPECIES CHANGE IN GAS CELL
Reactions responsible for changing the abundance of each beam species c c are illustrated in Fig. 1 for three different original ion species, H I , H2,
and H3. In evolution these species are independent of each other. The ti- +
species is included in the atomic ion ( H I ) family but neglected in the
evolution of molecular ion families f o r simplicity of analysis (justified
by its small net production rate in comparison with other species). We
then write the rate equations for the particle densities of species normal-
ized to the one of the original ion species of each family as follows:
+
1
2
ORNL/DWG/FED 78-230
Fig. 1. Reactions altering charge states and momenta of particles f o r + + -k
each family originating from H I , H 2 , and H3.
energy, and Ccd denotes the r eac t ion cross section involving a mass change
from a to b and a charge state change from c to d.
E is t h e original i o n beam ab
3
+ H I family
+ H2 family
2 1 2 1 11 11 + + C o o Y 2 0 + cloy+ - COlYO
d x
y+ = 2 - Yo - 2(y20 + Y2+) a
f H 3 family
- = dY3+ -S3Y3+ d X
dY20 22 -- - c 3 3 + + C I 0 Y 2 + - sly20 ax
- 2y20 - 2y2+ - 3y3.t y, = 3 - YO
where
x = t h e l i n e d e n s i t y (cm-2) ; x /-'P (R1d.R 0
p ( R ) = t h e background gas (W,) d e n s i t y , which is a f u n c t i o n of t h e
d i s t a n c e i n t o t h e gas c e l l , R .
22 @ 2 E / 3 1 21 1 2 1 s1 ?*I + 2 0 0 + C o 1
1 21 1 21 2 11
s4 z -c + p10 4- c;;
y 5 t h e r a t i o of a species number d e n s i t y t o t h e one of each
f a m i l y a t x = 0, t h e numeral s u b s c r i p t i n d i c a t i n g t h e number
of atoms i n a iuolecular s p e c i e s , and ( 0 , +, -) charge states.
Cab = r e a c t i o n c r o s s s e c t i o n i n v o l v i n g a m a s s change from a t o b cd and a charge s t a t e change from c t o d.
The las t e q u a t i o n of each faiiiily i s s imply f rom the c o n s e r v a t i o n of
monientum. The boundary c o n d i t i o n for- each group i s t h a t t h e o r i g i n a l
i o n f r a c t i o n s (y+, y2+, and y3 ) are u n i t y a t x = 0 and a l l t h e o t h e r s
are z e r o a t x = 0. -i-
With t h e boundary condi.Ci.on, yo(0) = 1, E q . (1) al-so d e s c r i b e s t h e
problem of a p u r e n e u t r a l beam of 1 O O X a tomic p a r t i c l e s t r a v e l i n g a d r i f t
tube . If t h e s i t u a t i o n i s such t h a t any charged s p e c i e s are d e f l e c t e d
o u t of t h e beam passage and dumped t o t h e d r i f t tube wall by the i n f l u e n c e
of the magnet ic f i e l d s o f a pl.asina confinement d e v i c e , t h e n y and y- w i l l
b e z e r o everywhere. +
The sol.ut.ions t o t h e s imul taneous d i f f e r e n t i a l e q u a t i o n s of each
f a m i l y are given below.
H ' f a m i l y A
5
where
- a l B 3 c10 B2 =
"1 - "2
+ H2 fami ly
6
y (x) = 2(1. - Y 2 0 - Y2+) - Y o + where
-s 3x y 3 + w = e
7
- 2y20 - 2Y2+ - 3y3+ y+(x) = 3 - Yo
where
(1.5)
8
T r a v e l i n g f u r t h e r downstream, t h e charged p a r t i c l e s of t h e beam are
swept away from the n e u t r a l p a r t i c l e s by a def lec tLon magnet: a f t e r a gas
ce l l . I f t h e gas c e l l l i n e d e n s i t y i s h i g h enough t o provide t h e equiI. ib-
riuin, e s s e n t i a l l y all. t h e n e u t r a l s e n t e r i n g i n t o a d r i f t r e g i o n ( i . e . , t h e
r e g i o n between t h e d e f l e c t i o n magnet and t h e plasma device) wi l l - b e mono-
a tomic p a r t i c l e s i n t h r e e d i s c r e t e energy groups ( i . e . , E , E / 2 , E / 3 ) .
The i n i t i a l c o n d i t i o n s are then set by t h e asymptot ic v a l u e s o f yo f o r
each group (yo ) .
produced along t h e d r i f t t u b e arc t o t rave l t o g e t h e r with t h e n e u t r a l
p a r t i c l e s , t h e s o l u t i o n s are i n t e r m s of t h e d r i f t tube l i n e d e n s i t y , x,
W For t h e case where the e n e r g e t i c charged par t ic les
where
“2B3 - (32 I- eo1 + co-1 .- Ti =
“1 - 012
00
Y o = t h e e q u i l i b r i u m f r a c t i o n of n e u t r a l s e n t e r i n g t h e d r i f t t u b e .
I n t h e case when t h e charged p a r t i c l e s are l o s t t o t h e w a l l a t t h e
l o c a t i o n where t h e y are born, i . e . > i f they do n o t c o n v e r t themselves
i n t o n e u t r a l s , t h e s o l u t i o n s are
9
3 . CALCULATIONS OF SPECIES EVOLUTION
Using the solutions Eqs . ( 4 ) - ( 1 5 ) , the fractional power of each
species is calculated as a function of the line density for different beam
energies (see Figs. 2-7). The fractional powers carried by the species of
molecular ion families are estimated from the number fractions (y's)
weighted by their fractional energies. The equilibrium fractions calculat-
ed herein are in fair agreement with the measured data.3 Appropriate cross
sections are tabulated in Table 1. Most cross section values are taken
from Ref. 3 and they differ! only slightly from the ones compiled by
Stearns et a1.2
In Fig. 8 the surviving fraction of the neutral beam in the drift m
tube, yo(x')/yo, is shown as a function of both the line density of the
drift tube and the neutral beam energy, where yo is the equilibrium frac-
tion of the neutral beam after the gas cell. It can be seen from Fig. 8
m
that about 10% l o s s of neutral beams occurs in the drift tube due to ioniz-
ing collisions at the line density of 1015 cm-2 (or 3 x
runaway situation could exist if the gas line density increases rapidly due
to "boil-off'' of gas by energetic particles lost to the drift tube wall.4
The conversion efficiency of ion beam power into neutral beam power is then
given by the following expression,
torr-m) . A
where fk is the fraction of the ion component, k, in the original ion beam,
k being 1, 2, and 3 for H i , H 2 , and H3 family, respectively. Y0,k (xg) is
the fraction of energetic atoms originated from the k family, evaluated at
a gas cell line density of xo.
+ + +
The line density of the entire
10
ORNL/DWG/FED-78-224 i o
0 8
0 6
71
c-- V .zl Iy
9
IA.
0 4
0.2
0 0.01
E = 2 0 k e V H o ( E / 3 :
'/
G 4 ?
LINE DENSITY ( x IOt6 cm-* )
Fig. 2. V a r i a t i o n of I r a c t i o n a l powers c a r r i e d by p a r t i c l e species as a f u n c t i o n of the doimstrc-arn l i n e d e n s i t y of H2 (or D 2 ) f o r hydrogen energy of 20 keV (or 40 keV f o r deuterium beams).
11
ORNL/OWG/ FED-78-225 f .O
0.8
0.6
z t- V U E IL
0
0 .4
0.2
0
I I l l 1 I1-n-T
0.oi O . ! I
LINE DENSITY ( x ioi6 ~ r n - ~ )
i o
Fig. 3. Variation of fractional powers carried by particle species as a function of the downstream line density of H2 (or D 2 ) for hydrogen energy of 30 keV (or 60 keV for deuterium beams).
12
10
0 8
0 6
z I- V 4 rK IL
21
0 4
0.2
0
0 01
ORNL/ DWG/ FED- 78- 226
01 f
LINE DENSITY ( x toi6 c,-2 i 40
Fig. 4 . Variation of fractional powers carried by particle species as a function of the downstream line density of IT2 (or D 2 ) for hydrogen energy of 40 keV (or 80 keV f o r deuterium beams),
13
ORNL/DWG/FED-78-227
4 .O
0.8
0.6
z I-
Lz LL
0 ::
0.4
0.2
0 0.04 0.i 1.0
LINE DENSITY ~ r n - ~ ) 40
Fig. 5. Variation of fractional powers carried by particle species as a function of the downstream line density of H 2 (or De) for hydrogen energy of 60 keV (or 120 keV for deuterium beams).
14
4 .O
0.8
0.6
21
I- u Q E LL
0
0.4
0.2
0 0.04
\ -.
\ .. '. E.80 keV -
" = ' - \ '*\
0.1 1 .O
LINE DENSITY (~40'~ ~ r n - ~ 1 10
Fig. 6. Variation of fractional powers carried by particle species as a function of the downstream li-ne density of Hz (or D z ) f o r hydrogen energy of 80 keV (or 160 keV for deuterium beams),
15
ORNL/DWG/FED-70-229
4.0
0.8
0.6
z 2 V Q LL a
0.4
0.2
0
---------
#*-----------
0.4 1.0 IO 0.01 LINE DENSITY (xio’6 cm-2)
Fig . 7. V a r i a t i o n of f r a c t i o n a l powers c a r r i e d by p a r t i c l e species as a f u n c t i o n of the downstream l i n e d e n s i t y of H2 (or D2) f o r hydrogen energy of 80 keV ( o r 200 keV f o r deuterium beams).
T a b l e 1. Cross s e c t i o n s ( i n units of cm’) used f o r t h e s p e c i e s c a l c u l a t i o n s compi led from Ref. 3
10 8.5 3 . 4 2
20 6 . 0 1 .3
30 4.0 1.6
40 2 . 6 1.6
60 1.: 1 . 5
90 0.56 1 . 2
100 0 . 2 8 1.1
120 0.15 0.95
0 . 0 4 7
0 . 1 0.062
0 . 0 2 5
0. (3022
0.0005
0.OOOP
0 . 0 0 0 0 3
0 . 2 2
0.19
0 . 1 2
3 . 0 9 5
0 . 3 5 3
0.029
0 . 0 2 1
0 . 0 0 8
0 . 4 1 0 . 0 4.6 0 . 6 7 0 . 3 8
0 . 4 4 8 .7 3.6 1 . 2 0 .43
0 . 4 4 7.4 2 . 8 1 .5 0 . 6
0 . 4 3 6 . 7 2 . 1 1 . 7 0.67
0 . 4 5 . 4 1 . 2 1.8 3.67
0.31 4.7 0 . 7 2.0 0.49
0 . 3 0 4 .0 0 . 4 5 2 .0 0 .3
0 . 2 5 3.6 0 . 3 2 . 0 0 . 3
2.4
1 .98
1 . 6 3
1 . 2 8
1.0
0 .85
0.75
0 . 6 7
2.4
2 . 1
1 .9
1.9
2.2
2 .4
2 . 3
2.25
7.7 1.1. 3 . 4 0 . 8 6
8 . 5 1 . 2 5 4 . 1 1 . 6 5
8 . 2 1 . 3 4 . 3 1.8
7 . 7 l . 2 5 4 . 1 1 . 9 5
6 . 1 1 .15 3.15 2 .15
4.6 1.i 2 . 4 2 . 3
3 .6 0.99 1 .9 2 . 3
2 . 5 0 . 9 2 1 .6 2 . 3
6 .2
8 .8
9 . 6
9 .6 ? .C cn
P
7 . 9
6 . 7
5 . 2
U C o n s i d e r a b l e d e v l a t l o n s o j s e r v e d between R e f . 2 and Ref . 3 .
bTaken from R e f . 2 .
17
O R N L /DWG/ FED- 78-2 19 1 .o
0.8
0.6 0 I- o Q LT LL 0.4
0.2
0
\ L i 2 0 keL 1\40
1 2 0 40
0 0.2 0.4 0.6 0.8 4.0 H, LINE DENSITY ( x ~ r n - ~ )
4.2
0 1 2 TORR-METER ( x
Fig. 8. The s u r v i v i n g f r a c t i o n of atomic hydrogen beam as a f u n c t i o n of the d r i f t t u b e l i n e d e n s i t y (H2) and t h e n e u t r a l bsam energy.
d r i f t t u b e i s denoted by x'. The gas c e l l l i n e d m s i t y , xo, is u s u a l l y set
less t h a n t h e e q u i l i b r i u m l i n e d e n s i t y i n a n e u t r a l beam i n j e c t i o n system,
s i n c e t h e f r a c t i o n of n e u t r a l s i s a s low f u n c t i o n O F t h e l i n e d e n s i t y n e a r
t h e e q u i l i b r i u m , and a c h i e v i n g t h e e q u i l i h r i m u l i n e d e n s i t y i s a t t h e ex-
pense of l a r g e vacuum pumping power.
0
4 . CALCULATIONS OF NEUTRAL REAM POWER
P o s i t i v e hydrogen i o n beams are p o t e n t i a l l y i n e f f i c i e n t a t h i g h energy
s i n c e t h e n e u t r a l i z a t i o n e f f i c i e n c y d e c r e a s e s wi.th t h e benin energy. 'l'he
convers ion e f f i c i e n c y given by Eq . ( 2 2 ) and F i g s . 2-7 a t a g iven gas c e l l
and d r i f t t u b e c o n d i t i o n provides t h e informat ion needed f o r n e u t r a l beam
i n j e c t i o n systems des ign .
Another useful . way t o p r e s e n t t h e problem of n e u t r a l i z a t i o n i s t o p l o t
t h e n e u t r a l power as a f u n c t i o n of beam energy f o r a f i x e d beam c u r r e n t .
S i n c e t:he e x t r a c t a b l e i o n beam c u r r e n t i s l i m i t e d due t o c o n s i d e r a t i o n s of
o p t i c s and breakdown v o l t a g e , t h e r e i s a p r a c t i c a l upper l . i i1l i t on t he ex-
t r a c t i o n c u r r e n t d e n s i t y . Thus f a r , al.1 t h e neut ra l . beam i n j e c t o r s o u r c e s
have y i e l d e d avera.ge c u r r e n t d e n s i t i e s i n t h e range between 0.3 and 0.4 A I cm2. The t o t a l c u r r e n t f rom a s o u r c e has been s imply s c a l e d cp by t h e in-
crease of t h e e m i t t i n g area. However, t h e r e wou1.d b e a 1i.mi.t on t h e si-ze
of a n i o n s o u r c e due t o t h e d i f f i c u l t y of m a i n t a i n i n g t h e s o u r c e gas p r e s -
s u r e d i f f e r e n t i a l and t h e s o u r c e p l a s m a u n i f o r m i t y . Consequentl.y, i t i s
w e l l j u s t i f i e d t o assuine t h a t an i o n s o u r c e as p r e s e n t l y designed i s cur-
r e n t l i m i t e d .
I n t h i s r e s p e c t , F ig . 9 shows t h e n e u t r a l beam power p e r ampere of i o n
beam as a f u n c t i o n of bo th t h e beam energy and t h e s p e c i e s d i s t r i b u t i o n .
(The 113 component i s n e g l e c t e d f o r s i m p l i c i t y . ) The gas c e l l l i n e d e n s i t y
i s chosen such t h a t 90% of t h e e q u i l i b r i u m f r a c t i o n i s t o be achieved f o r
H l ( E ) . For s impl . ic i ty , t h e l o s s a l o n g t h e d r i . f t t u b e i s n e g l e c t e d . The
ac tua l . power r e a l i z e d a t t h e f u s i o n p l a s m a p e r a m p e r e o f i o n c u r r e n t i s t h e
product of illre n e u t r a l power shown i n Pig. 9 , t h e o v e r a l l geometr ic trsans-
m i s s i o n e f f i c i e n c y (due t o beam d i v e r g e n c e ) , and t h e surviv.bng f r a c t i o n of
t h e n e u t r a l beam i n p a s s i n g through t h e d r i f t t u b e ( F i g " 8 ) . The power
c a r r i e d by t h e h a l f energy cornporient i s t h e suiii of I30 ( E / ? ) and H o ( E ) ,
a l t h o u g h above 80 keV, t h e HF (E) component becomes negligib1.e.
-t
4-
1 2
19
ORNL/DWG/F&Q 78- 220
40
3 Y v
W
Q E 30 2 a
or w 0 3 a
20 5 W lI3
10
0
I I I BEAM COMPOSITION a IOO% H: b 80Y0 M t - 20% H i c 60Y0 H i - 4 0 % H$
d 4070 HT-60% H; e 20% H,-80% H$
-
/ J
/ /
I I I I e ----
/’ /
/
d ,,----- /
/ /
0 20 40 60 80 100 120 140 ACCELERATION ENERGY (keV)
Fig . 9. N e u t r a l beam powers p e r ampere of t h e o r i g i n a l i o n beam
For each energy t h e l i n e d e n s i t y for t h e 90%
c u r r e n t as a f u n c t i o n of t h e beam energy f o r d i f f e r e n t s p e c i e s d i s t r i b u -
t i o n s (HI and H2 o n l y ) .
e q u i l i b r i u m f o r H (E) i s used.
f + +
O n e can n o t i c e froin F i g . 9 t h a t t h e n e u t r a l beam power c a r r i e d by t h e
f u l l energy p a r t i c l e s h a s a n a p p a r e n t maximum wi th r e s p e c t t o t h e beam
energy. A maximum p l a t e a u appears in t h e energy range between 40 and 80
keV. The c u r r e n t n e u t r a l beam program i s i n t h i s energy range , e . g , , 40
keV Ho EOK PLT, 120 keV D o (60 keV Ho e q u i v a l e n t ) f o r TFTR, and o t h e r s .
One a l s o n o t i c e s t h a t i n t h i s energy range t h e e f f i c i e n c y varies as the
i n v e r s e of t h e energy. The beam energy, a t which t h e t o t a l n e u t r a l power
(botli ha1.f- and f u l l - e n e r g y p a r t i c l e s ) i s maximurn, varies accord ing t o t h e
s p e c i e s composi t ion, f rom ~ 7 0 keV f o r 100% H:, $80 keV f o r 60% H1-40% 1-12,
t o ~ 1 0 0 key f o r 20% H1-8Q% H2.
+ -I-
+ 4
5. CONCLlJS I O N S
W e have p r e s e n t e d a n a l y t i c sol .utions t o t h e ra te e q u a t i o n s f o r ion-
molecule i n t e r a c t i o n s i n a gas c e l l and a d r i f t tube . Evolu t ion of species
a.s a f u n c t i o n of l ine d e n s i t y w a s g iven fo r a wide range of energy of
i n t e r e s t t o n e u t r a l beam in jec t : ion lieatling of f u s i o n p l a s m a (20-100 keV p e r
nuc leon) . It should b e noted t h a t t h e comy:i.l.ed c r o s s s e c t i o n s t y p i c a l l y
have s t a n d a r d deviati . i ius of i20-40%, The n e u t r a l beam power p e r u n i t i o n
beam c u r r e n t w a s a l s o c a l c u l a t e d as a f u n c t i o n of t h e io11 bemi energy,
e l u c i d a t i n g t h e maximum obtainab1.e n e u t r a l beam powers I The n e u t r a l beam
power p e r ampere of i o n c u r r e n t i s more o r I .ess c o n s t a n t i n lie energy
range between 40 and 80 keV f o r a tomic hydrogen io i i s .
ACKNOVLEDGMENT
We g r a t e f u l l y acknowledge L. D , Stewart and J . W. Whealton f o r u s e f u l
s u g g e s t i o n s and d i s c u s s i o n s .
2 1
RE FERENCES
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2. J. W. Steams, K. H. Berkner, and R. V. Pyle, Proc. 2nd Topical Meeting
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3. C. F. Barnett et al., Atomic Data f o r Controlled Fusion Research,
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1. 2 . 3 . 4 . 5 . 6 . 7 .
9 . 10. 11. 12. 13. 1 4 .
3 6 . 37. 3 8 . 39 .
a .
15-35
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6 1 .
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6 3 .
6 4 .
6 5 .
6 6 .
6 7 .
6 8 .
6 9 .
7 0 .
7 1 .
7 2 .
C. W. L. C. J. w . R. R. C. W. H. T. G. H. J. M. M. A. S.
F. Barnett R. Becraft A. Berry W. Blue D. Callen K. Dagenhart A. Dandl C. Davis A. Foster L. Gardner H. Haselton C. Jernigan G. Kelley J. K i m Kim S . Lube11 M. Menon T. Mense L. Milora
ORNL/ TM- 6302 Dist. Category UC-20
INTERNAL DISTRIBUTION
40. 41 . 4 2 . 4 3 . 4 4 . 45 . 4 6 . 4 7 . 4 8 . 49 .
50-51. 5 2 .
53-54 1 5 5 . 5 6 .
57-58. ' 5 9 .
0. B. Morgan M. W. Rosenthal P. M. Ryan D. E. Schechter S. W. Schwenterly J. Sheffield D. Steiner W . L. Stirling C. Tsai J. H. Whealton Central Research Library Document Reference Section Laboratory Records Laboratory Records, OWL-KC OKNL Patent Office Fusion Energy Division Library Fusion Energy Division Communications Center
EXTERNAL DISTRIBUTION
C. C. Baker, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, IL 60439 K. H. Berkner, Lawrence Berkeley Laboratory, University of California, Berkeley, CA 94720 Director, Centre d'Etudes Nuclgaires, B.P. No. 6 , Fontenay-aux- Roses, France J. F. Clarke, Office of Fusion Energy, Department of Energy, Washington, DC 20545 F. Coffman, Office of Fusion Energy, Department o f Energy, Washington, DC 20545 A. Colleraine, General Atomic Go., P.O. Box 6 0 8 , San Diego, CA 92112 S . 0 . Dean, Office of Fusion Energy, Department of Energy, Washington, DC 20545 H. Eubank, Plasma Physics Laboratory, Princeton University, P.O. Box 4 5 1 , Princeton, NJ 08540 J. A. Fasolo, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, IL 60439 T. K. Fowler, Lawrence Livermore Laboratory, University of California, P.O. Box 8 0 8 , Livermore, CA 94551 H. P. Furth, Plasma Physics Laboratory, Princeton University, P.O. Box 4 5 1 , Princeton, NJ 08540 M. Gottlieb, Plasma Physics Laboratory, Princeton University, P.O. Box 4 5 1 , Princeton, NJ 08540 L. R. Grisham, Plasma Physics Laboratory, Princeton University, P.O. Box 451, Princeton, NJ 08540
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73.
7 4 .
7 5 .
7 b .
7 7 .
7 8 .
7 9 .
80.
81.. 82.
83.
8 4 .
85.
8 6 .
8 7 . 8 8 .
89.
9 0 .
91.
9 2 .
9 3 .
9 4 .
95-212.
E. B. Hooper, Lawrence Livermore Labora tory , U n i v e r s i t y of C a l i f o r n i a , P.0, Box 808, Livermore, CA 9 4 5 5 1 R.ay Huse , Chairman, EPKX Fusion Program Comxittee, P u b l i c Service Elec t r ic 6 Gas Company, 80 Park Place, Newark, N J 07101. E. K i n t n e r , O f f i c e of Frisioii Energy, Department of Energy, Washington, DC 20545 W. Kuiikel, Lawrence Berliel.ey T,aboratory, U n i v e r s i t y of C a l i f o r n i a , Berkeley, CA 94720 A. K. Mar t in , Culharn Labora tory , Abingdon, Oxfordshi re , United Kingdom S. Matsuda, Japan Atomic Energy Research I n s t i t u t e , Tokai, I b a r a k i , Japan Tdbrary, Max Planck I n s t i t u t f u r Plasmaphysik, Garching b e i Munchen, FRG G . H. Miley, Nuclear Engineer ing Program, U n i v e r s i t y of I l l i n o i s , Urbana, I L 61801 T. Ohkawa, General Atomic Co., P .O. Box 6 0 8 , San Diego, CA 927.12 J. Osher, Lawrence Livermore Labora tory , Universi . ty of C a l i f o r n i a , P.O. Box 808, Livermore, CA 3 4 5 5 1 K. P r e l e c , Brookhaven N a t i o n a l Labora tory , Upton, Long I s l a n d , NY 11973 L i b r a r y , Plasma Phys ics l a b o r a t o r y , P r i n c e t o n U n i v e r s i t y , P.O. Box 4.51., Princeton. , N J 08540 R. V. P y l e , Lawrence Berkeley Labora tory , U n i v e r s i t y of C a l i f o r n i a , Berkeley, CA 94720 G . S c h i l l i n g , Plasma Phys ics Labora tory , P r i n c e t o n U n i v e r s i t y , P.O. BOX 4.51, Princeto-cl, N J 08540 N. N . Sernasko, Kurchatov Atomic Energy I n s t i t u t e , MOSCOW, U.S.S.R. T . S l u y t e r s , Brookhaven N a t i o n a l I ,ahoratory, Uptori, Long I s l a n d , NY 11973 S. S t a t e n , O f f i c e of Fusion Energy, Department of .Energy, Washington, :OC 20545 L. D. S t e w a r t , P l a s m a Phys ics Labora tory , P r i n c e t o n U n i v e r s i t y , P.O. Box 4 5 1 , P r i n c e t o n , N J 0 8 5 4 0 D. R. Sweetman, Culham Labora tory , Abingdon, Oxfordshi re , United Kingdom E. Thompson, Culham Labora tory , Abingdon, Oxfordshi re , United Kingdom , F. Valcx, Centre d 'Etudes Nucl&ires , B.P. No. 6 , Fontenay-aux- Roses, France D i r e c t o r , Kesearch & Teclvnical Support D i v i s i o n , Department of Energy, Oak Ridge Opera t ions , P.O. Box E , Oak Ridge, TN 37830 Given d i s t r i b u t i o n as shown i n TID-6500, Magnetic Fus ion Energy ( D i s t r i b u t i o n Category UC--2 0)